Third-Cycle Courses

Faculty of Engineering | Lund University

Details for the Course Syllabus for Course FRTN55F valid from Autumn 2020

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  • The course gives an in-depth treatment of design of linear control systems with limitations. Special attention is given to design trade-offs and fundamental limitations, and how mathematical optimziation can be used as a design tool, both offline and online. The course covers both continuous-time and discrete-time control systems.
  • The control design process, stability, sensitivity, robustness, the small-gain theorem, transfer function matrices, non-minimum-phase systems, disturbance models in the time domain and frequency domain, frequency-domain specifications, fundamental limitations and trade-offs, controller structures, the Youla parameterization and internal model control, sampled-data control, linear-quadratic optimization of state feedback and Kalman filter, model-predictive control, controller synthesis using convex optimization.
Knowledge and Understanding
  • For a passing grade the doctoral student must
  • be able to translate between, and intelligently select among, different representations for continuous-time and discrete-time systems, in particular transient responses, transfer functions, and state-space descriptions.
    be able to derive properties of interconnected systems from the properties of their subsystems, and to characterize and quantify the role of the different subsystems.
    be able to formulate constraints on input signals and output signals of a control system and to relate these to conditions on the matrices that describe the system.
    be able to analyse how process characteristics put limitations on the control performance that can be achieved.
Competences and Skills
  • For a passing grade the doctoral student must
  • be able to independently formulate technical specifications based on understanding of the control system should be used and interact with the external environment.
    be able to select control design methods and model structures, and translate specifications into mathematical optimization problems to be solved online or offline.
    draw conclusions from numerical calculations about the correctness of models and specifications, and about the consequences for the interaction between the system and the environment.
Judgement and Approach
  • For a passing grade the doctoral student must
  • understand relationships and limitations when simplified models are used to describe a complex and dynamic reality
    show ability to teamwork and group collaboration at laboratories.
Types of Instruction
  • Lectures
  • Laboratory exercises
Examination Formats
  • Written exam
  • Failed, pass
Admission Requirements
Assumed Prior Knowledge
  • FRTF05 Automatic Control, Basic Course or FRTN25 Automatic Process Control.
Selection Criteria
  • Lecture slides, exercise material and laboratory manuals are available on the course homepage.
    Lecture Notes in Automatic Control, Advanced Course. Department of Automatic Control, LTH (compendium).
    Torkel Glad, Lennart Ljung: Control Theory: Multivariable and Nonlinear Methods, Taylor & Francis, 2000, ISBN 0748408789 (optional reading).
Further Information
Course code
  • FRTN55F
Administrative Information
  • 2020-11-13
  • Professor Thomas Johansson

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